Question3Max. score: 2.00An amount is being distributed amongst A, B, C, D in the ratio of 6:4:5:3 and the share of A is 300 more than D. Find out A's share.
Question
Question3Max. score: 2.00An amount is being distributed amongst A, B, C, D in the ratio of 6:4:5:3 and the share of A is 300 more than D. Find out A's share.
Solution
To find out A's share, we need to follow these steps:
Step 1: Calculate the total ratio of the distribution. The total ratio is the sum of the individual ratios of A, B, C, and D, which is 6 + 4 + 5 + 3 = 18.
Step 2: Determine the value of one unit of the ratio. To find the value of one unit, we divide the total amount being distributed by the total ratio. Let's assume the total amount is x. So, one unit of the ratio is x/18.
Step 3: Calculate A's share. Since A's share is 6 units in the ratio, we multiply the value of one unit by 6 to find A's share. A's share = (x/18) * 6
Step 4: Determine the relationship between A's share and D's share. According to the question, A's share is 300 more than D's share. So, we can write the equation as: A's share = D's share + 300
Step 5: Solve the equation to find A's share. Substitute the value of A's share from step 3 into the equation from step 4: (x/18) * 6 = (x/18) * 3 + 300
Simplify the equation: 6x/18 = 3x/18 + 300
Multiply both sides of the equation by 18 to eliminate the denominators: 6x = 3x + 5400
Subtract 3x from both sides: 3x = 5400
Divide both sides by 3: x = 1800
Step 6: Calculate A's share using the value of x. Substitute the value of x into the equation from step 3: A's share = (1800/18) * 6 A's share = 100 * 6 A's share = 600
Therefore, A's share is 600.
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